Seminars & Colloquia Calendar

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Number Theory Seminar

Cutting sequences of Lehner and Farey expansions

Claire Merriman (Ohio State University)

Location:  zoom
Date & time: Tuesday, 28 September 2021 at 2:30PM - 3:30PM

Abstract: I will connect Lehner and Farey continued fractions with digits (-1,1) and (2,-1) to cutting sequences of the geodesic flows on the upper half plane. The connection between geodesics on the modular surface PSL(2,Z)H and regular continued fractions was established by Series. This talk will discuss how to modify Series' construction for these slow continued fractions.

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